137328390144

Names of 137328390144

• Cardinal: 137328390144 can be written as One hundred thirty-seven billion, three hundred twenty-eight million, three hundred ninety thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.37328390144 × 10¹¹

Factors of 137328390144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 166

Divisors of 137328390144

• Number of divisors d(n): 728
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 37 44 48 54 64 66 72 74 81 88 96 99 108 111 113 128 132 144 148 162 176 192 198 216 222 226 243 256 264 288 296 297 324 333 339 352 384 396 407 432 444 452 486 512 528 576 592 594 648 666 678 704 729 768 792 814 864 888 891 904 972 999 1017 1024 1056 1152 1184 1188 1221 1243 1296 1332 1356 1408 1458 1536 1584 1628 1728 1776 1782 1808 1944 1998 2034 2048 2112 2304 2368 2376 2442 2486 2592 2664 2673 2712 2816 2916 2997 3051 3072 3168 3256 3456 3552 3564 3616 3663 3729 3888 3996 4068 4096 4181 4224 4608 4736 4752 4884 4972 5184 5328 5346 5424 5632 5832 5994 6102 6144 6336 6512 6912 7104 7128 7232 7326 7458 7776 7992 8019 8136 8362 8448 8991 9153 9216 9472 9504 9768 9944 10368 10656 10692 10848 10989 11187 11264 11664 11988 12204 12288 12543 12672 13024 13824 14208 14256 14464 14652 14916 15552 15984 16038 16272 16724 16896 17982 18306 18432 18944 19008 19536 19888 20736 21312 21384 21696 21978 22374 22528 23328 23976 24408 25086 25344 26048 26973 27459 27648 28416 28512 28928 29304 29832 31104 31968 32076 32544 32967 33448 33561 33792 35964 36612 36864 37629 37888 38016 39072 39776 41472 42624 42768 43392 43956 44748 45056 45991 46656 47952 48816 50172 50688 52096 53946 54918 55296 56832 57024 57856 58608 59664 62208 63936 64152 65088 65934 66896 67122 67584 71928 73224 75258 75776 76032 78144 79552 82377 82944 85248 85536 86784 87912 89496 91982 93312 95904 97632 98901 100344 100683 101376 104192 107892 109836 110592 112887 113664 114048 115712 117216 119328 124416 127872 128304 130176 131868 133792 134244 135168 137973 143856 146448 150516 151552 152064 156288 159104 164754 165888 170496 171072 173568 175824 178992 183964 186624 191808 195264 197802 200688 201366 202752 208384 215784 219672 225774 227328 228096 231424 234432 238656 248832 255744 256608 260352 263736 267584 268488 275946 287712 292896 296703 301032 302049 304128 312576 318208 329508 331776 338661 340992 342144 347136 351648 357984 367928 373248 383616 390528 395604 401376 402732 405504 413919 416768 431568 439344 451548 454656 456192 462848 468864 477312 497664 511488 513216 520704 527472 535168 536976 551892 575424 585792 593406 602064 604098 608256 625152 636416 659016 677322 681984 684288 694272 703296 715968 735856 746496 767232 781056 791208 802752 805464 827838 833536 863136 878688 903096 906147 912384 937728 954624 995328 1015983 1022976 1026432 1041408 1054944 1070336 1073952 1103784 1150848 1171584 1186812 1204128 1208196 1216512 1241757 1250304 1272832 1318032 1354644 1363968 1368576 1388544 1406592 1431936 1471712 1492992 1534464 1562112 1582416 1605504 1610928 1655676 1667072 1726272 1757376 1806192 1812294 1824768 1875456 1909248 2031966 2045952 2052864 2082816 2109888 2140672 2147904 2207568 2301696 2343168 2373624 2408256 2416392 2483514 2500608 2545664 2636064 2709288 2737152 2813184 2863872 2943424 2985984 3047949 3068928 3124224 3164832 3211008 3221856 3311352 3452544 3514752 3612384 3624588 3649536 3725271 3750912 3818496 4063932 4091904 4105728 4165632 4219776 4281344 4295808 4415136 4603392 4686336 4747248 4816512 4832784 4967028 5001216 5091328 5272128 5418576 5474304 5626368 5727744 5886848 6095898 6137856 6248448 6329664 6422016 6443712 6622704 6905088 7029504 7224768 7249176 7450542 7501824 7636992 8127864 8211456 8439552 8562688 8591616 8830272 9206784 9372672 9494496 9633024 9665568 9934056 10544256 10837152 10948608 11175813 11252736 11455488 11773696 12191796 12275712 12496896 12659328 12844032 12887424 13245408 13810176 14059008 14449536 14498352 14901084 15003648 15273984 16255728 16422912 16879104 17125376 17183232 17660544 18413568 18745344 18988992 19266048 19331136 19868112 21088512 21674304 22351626 22505472 22910976 23547392 24383592 25318656 25688064 25774848 26490816 27620352 28118016 28899072 28996704 29802168 32511456 32845824 33527439 33758208 34366464 35321088 36827136 37490688 37977984 38532096 38662272 39736224 42177024 43348608 44703252 45010944 45821952 47094784 48767184 50637312 51376128 51549696 52981632 55240704 56236032 57798144 57993408 59604336 65022912 67054878 67516416 68732928 70642176 75955968 77064192 77324544 79472448 84354048 86697216 89406504 94189568 97534368 101274624 103099392 105963264 110481408 112472064 115596288 115986816 119208672 130045824 134109756 135032832 137465856 141284352 151911936 154128384 154649088 158944896 168708096 173394432 178813008 188379136 195068736 202549248 206198784 211926528 231192576 231973632 238417344 260091648 268219512 282568704 303823872 309298176 317889792 337416192 346788864 357626016 390137472 405098496 412397568 423853056 462385152 463947264 476834688 520183296 536439024 565137408 607647744 618596352 635779584 693577728 715252032 780274944 847706112 927894528 953669376 1040366592 1072878048 1215295488 1237192704 1271559168 1387155456 1430504064 1560549888 1695412224 1855789056 1907338752 2080733184 2145756096 2543118336 2861008128 3121099776 3711578112 3814677504 4161466368 4291512192 5086236672 5722016256 6242199552 7629355008 8583024384 11444032512 12484399104 15258710016 17166048768 22888065024 34332097536 45776130048 68664195072 137328390144
• Sum of all divisors σ(n): 465400431792
• Sum of proper divisors (its aliquot sum) s(n): 328072041648
• 137328390144 is an abundant number, because the sum of its proper divisors (328072041648) is greater than itself. Its abundance is 190743651504

Bases of 137328390144

• Binary: 1111111111001011010001111000000000000₂
• Hexadecimal: 0x1FF968F000
• Base-36: 1R35S000

Squares and roots of 137328390144

• 137328390144 squared (137328390144²) is 18859086739542676340736
• 137328390144 cubed (137328390144³) is 2589888021527453568658511688105984
• The square root of 137328390144 is 370578.4534265315
• The cube root of 137328390144 is 5159.2524173847

Scales and comparisons

• 137,328,390,144 seconds is equal to 4,366 years, 32 weeks, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 137,328,390,144 would take you about eight thousand, seven hundred thirty-three years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 137328390144 cubic inches would be around 429.9 feet tall.

Recreational maths with 137328390144

• 137328390144 backwards is 441093823731
• The number of decimal digits it has is: 12
• The sum of 137328390144's digits is 45
• More coming soon!